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Finding the Third Proportional to 12,691 and 19,759

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Solution

The third proportional to 12,691 and 19,759 is: 30,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691 : 19,759 = 19,759 : x
  2. Step 2: Convert to fraction form
    12,691/19,759 = 19,759/x
  3. Step 3: Cross multiply
    12,691x = 19,759 × 19,759
  4. Step 4: Simplify right side
    12,691x = 390,418,081
  5. Step 5: Solve for x
    x = 390,418,081/12,691
  6. Step 6: Final answer
    x = 30,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.